Pith Number

pith:7V2W5PKA

pith:2016:7V2W5PKAX432RLRAAR3PKK76WU

not attested not anchored not stored refs pending

On a joint $(m, (q_1, ..., q_d))$-partial isometries and a joint $m$-invertible $d$-tuple of operators on a Hilbert space

Ould Ahmed Mahmoud Sid Ahmed

arxiv:1602.08485 v1 · 2016-02-26 · math.FA · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7V2W5PKAX432RLRAAR3PKK76WU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:19:52.780282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd756ebd40bf37a8ae200476f52bfeb503a40e7956a2690837fd3a51a303cb8f

Aliases

arxiv: 1602.08485 · arxiv_version: 1602.08485v1 · doi: 10.48550/arxiv.1602.08485 · pith_short_12: 7V2W5PKAX432 · pith_short_16: 7V2W5PKAX432RLRA · pith_short_8: 7V2W5PKA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7V2W5PKAX432RLRAAR3PKK76WU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: fd756ebd40bf37a8ae200476f52bfeb503a40e7956a2690837fd3a51a303cb8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffa578354710ab77f02155910a1625ccc1aaad4a24eed588aa3257b2773b6643",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-02-26T09:23:14Z",
    "title_canon_sha256": "a2c4fef815910cb7c35193068ceb454c7645f2a283a7854b71aa2a09c1215b15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08485",
    "kind": "arxiv",
    "version": 1
  }
}